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Electromagnetism & electronics

Brushed DC motor

Electromagnetism · Motors

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How does a battery make a toy car’s wheels spin when nothing inside the motor touches the magnets?

Inside a DC motor, copper coils sit between two magnets. When electric current flows through the coils, the magnets push on them and the middle part spins. A clever switch on the shaft keeps flipping the current so the push always goes the same way round.

A brushed DC motor produces torque from the force on current-carrying armature conductors lying in the field of stationary permanent magnets, while a mechanical commutator reverses each coil’s current as it passes the neutral axis so the torque always acts the same way. As the armature speeds up it generates a back-EMF proportional to speed, which limits the current and gives the motor its straight-line speed–torque characteristic.

Key facts

Torque law
T = k_t I
Back-EMF law
E = k_e ω (k_e = k_t in SI units)
Speed–torque curve
Straight line from no-load speed to stall torque
Maximum mechanical power
At half stall torque and half no-load speed
Efficiency
≈ 50–75% (small motors); ≈ 85–90% (large industrial)
Brush contact drop
≈ 1–2 V in total (carbon/graphite brushes)

Parts you can explore (11)

In the 3D model

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